Identify the correct statement(s).

(A) In any lens, the optical centre is always at the centre of the lens.
(B) In a lens, if the curvature of its two surfaces is equal, the optical centre is at the centre of the lens.
(C) A light ray passing through the optical centre of a lens never shifts from the direction of the incident ray.
(D) A ray of light incident perpendicularly on a lens passes through its focus after refraction.

Choose the correct answer from the following given options.

(B) and (C) only

The correct answer is Option (4) → (B) and (C) only **

(A) Incorrect — The optical centre is not necessarily at the geometric centre of the lens; its position depends on the curvature of both surfaces and the refractive index.

(B) Correct — When both surfaces of a lens have equal curvature (radii of curvature equal and opposite), the optical centre coincides with the geometric centre.

(C) Correct — A light ray passing through the optical centre of a lens passes undeviated, i.e., it does not change its direction.

(D) Incorrect — A ray incident perpendicularly on a lens passes straight through without deviation; it does not pass through the focus.

∴ Correct statements: (B) and (C)